CAT Quantitative Ability Questions | CAT Permutation, Combination and Probability questions

CAT/2000

Question . 48

X is an odd integer such that 100 < x < 200 and x is divisible by 3 but not 7. The possible number of values of x is

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Permutation, Combination and Probability question

(d) Between 100 and 200 no.of multiple of 3 are 102 , 105........,198

these when are counted We find 33 such numbers And out of these 16 are odd.

But 105, 126, 147, 168, 189 are multiple of 21.

And three of these are odd.

Thus required no. = 16 – 3 = 13